Find the LCM of 896, 724, 103, 721, 718 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 896, 724, 103, 721, 718. So, keep reading to learn more.
Given numbers are 896,724,103,721,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,724,103,721,718 is 5996781952.
Find LCM of 896,724,103,721,718 with Prime Factorization
2 | 896, 724, 103, 721, 718 |
2 | 448, 362, 103, 721, 359 |
7 | 224, 181, 103, 721, 359 |
103 | 32, 181, 103, 103, 359 |
32, 181, 1, 1, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 103 x 32 x 181 x 1 x 1 x 359 = 5996781952
Therefore, the lowest common multiple of 896,724,103,721,718 is 5996781952.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
896 x 724 x 103 x 721 x 718 = 34589438299136
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
724 : 1, 2, 4, 181, 362, 724
103 : 1, 103
721 : 1, 7, 103, 721
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,724,103,721,718, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
724:2x 2x 181
103:103
721:7x 103
718:2x 359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 7x 103 = 5768
Therefore, the value for common factors is 5768.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 34589438299136/(1x5768)
LCM = 34589438299136/5768
LCM = 5996781952
Thus, we can understand that the LCM of 896,724,103,721,718 is 5996781952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 896, 724, 103, 721, 718?
Answer: LCM of 896, 724, 103, 721, 718 is 5996781952.
2. How to calculate the LCM of 896, 724, 103, 721, 718?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 896, 724, 103, 721, 718.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.